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Matematicheskie Zametki, 2010, Volume 87, Issue 6, Pages 900–906
DOI: https://doi.org/10.4213/mzm8735 (Mi mzm8735) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On the Extrinsic Curvature and the Extrinsic Structure of Normal Developable $C^1$ Surfaces

I. Kh. Sabitov

M. V. Lomonosov Moscow State University
Full-text PDF (454 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm8735
Abstract: It is proved that any normal $C^1$ surface developable in the sense of Shefel has zero extrinsic curvature in the sense of Pogorelov. A condition under which such a surface has a standard line of striction is obtained.
Keywords: normal developable surface, extrinsic curvature, line of striction, conical surface, cylindrical surface, torsial surface.
Received: 26.08.2009
Revised: 10.10.2009
English version:
Mathematical Notes, 2010, Volume 87, Issue 6, Pages 874–879
DOI: https://doi.org/10.1134/S0001434610050275
Bibliographic databases:
Document Type: Article
UDC: 515.16
Language: Russian
Citation: I. Kh. Sabitov, “On the Extrinsic Curvature and the Extrinsic Structure of Normal Developable $C^1$ Surfaces”, Mat. Zametki, 87:6 (2010), 900–906; Math. Notes, 87:6 (2010), 874–879
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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